10100102021001 has 6 divisors (see below), whose sum is σ = 14589036252570. Its totient is φ = 6733401347328.

The previous prime is 10100102020969. The next prime is 10100102021041. The reversal of 10100102021001 is 10012020100101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9198779636601 + 901322384400 = 3032949^2 + 949380^2 .

It is not a de Polignac number, because 10100102021001 - 2⁵ = 10100102020969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1122233557889 = 10100102021001 / (1 + 0 + 1 + 0 + 0 + 1 + 0 + 2 + 0 + 2 + 1 + 0 + 0 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10100102021041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561116778936 + ... + 561116778953.

It is an arithmetic number, because the mean of its divisors is an integer number (2431506042095).

Almost surely, 2^{10100102021001} is an apocalyptic number.

It is an amenable number.

10100102021001 is a deficient number, since it is larger than the sum of its proper divisors (4488934231569).

10100102021001 is a wasteful number, since it uses less digits than its factorization.

10100102021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122233557895 (or 1122233557892 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100102021001 its reverse (10012020100101), we get a palindrome (20112122121102).

The spelling of 10100102021001 in words is "ten trillion, one hundred billion, one hundred two million, twenty-one thousand, one".